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Physics PHYS 356 Quantum Mechanics Spring Semester 2013 (4 credit hours) Description Modern quantum mechanics with an emphasis on matrix methods. Topics to be covered include time evolution, harmonic oscillators, angular momentum, central potentials, the hydrogen atom and perturbation theory. Prerequisites: PHYS 212, MATH 241, pre/co-requisite MATH 261. 1. Monday, Jan. 14 Topic: Read: Assignment: The Axioms of Quantum Mechanics. Townsend, Chapter 1. Problem Set #1 2. Wednesday, Jan. 16 Topic: The Stern-Gerlach Experiment. 3. Friday, Jan. 18 Topic: Assignment: Matrix Representations. Townsend, Chapter 2. 4. Monday, Jan. 21 Topic: Due: Assignment: Quantum Mechanical Operators. Problem Set #1 Problem Set #2 5. Wednesday, Jan. 23 Topic: Eigenvalue Equations and Spin. 6. Friday, Jan. 25 Topic: Read: Commutators and Time Evolution. Townsend, Sections 3.1-3.2, Chapter 4. 7. Monday, Jan. 28 Topic: Due: Assignment: Example: Time Evolution of Spin-1/2 Particle in Magnetic Field. Problem Set #2 Problem Set #3 8. Wednesday, Jan. 30 Topic: Catch Up Day 9. Friday, Feb. 1 Topic: Physics Candidate Interview (No class) Due: Unit Test #1 (Chapters 1, 2, 3.1-3.2 and 4) Problem Set #3 11. Wednesday, Feb. 6 Topic: Read: Assignment: Wave Mechanics in One Dimension. Townsend, Chapter 6.1-6.8. Problem Set #4 12. Friday, Feb. 8 Topic: Wave Mechanics in One Dimension (cont.). 13. Monday, Feb. 11 Topic: Read: Example: Free Particles and the Particle in a Box. Townsend, 6.9 14. Wednesday, Feb. 13 Topic: Read: Example: One Dimensional Scattering Townsend, 6.10 15. Friday, Feb. 15 Topic: Example: One Dimensional Scattering 10. Monday, Feb. 4 16. Monday, Feb. 18 Topic: Read: Due: Assignment The Harmonic Oscillator (the hard way.) Townsend, Chapter 7 Problem Set #4 Problem Set #5 17. Wednesday, Feb. 20 Topic: The Harmonic Oscillator (the hard way, continued.) 18. Friday, Feb. 22 Topic: The Harmonic Oscillator (the hard way, continued.) 19. Monday, Feb. 25 Topic: The Harmonic Oscillator (the easy way.) 20. Wednesday, Feb. 27 Topic: The Harmonic Oscillator (the easy way.) Friday, Mar. 1 February Break 21. Monday, Mar. 4 Topic: Read: Angular Momentum. Townsend, Sections 3.3-3.8, 9.5-9.10. 22. Wednesday, Mar. 6 Topic: Angular Momentum (the hard way). Due: Assignment: Unit Test #2 (Chapters 6 and 7) Problem Set #5 Problem Set #6 Topic: Angular Momentum (the easy way). 23. Friday, Mar. 8 24. Monday, Mar. 11 Wednesday, Mar. 13 HELP Day (no classes) 25. Friday, Mar. 15 Topic: Read: Addition of Angular Momentum. Townsend, 5.1-5.4, Appendix B 26. Monday, Mar. 18 Topic: Read: Motion in a Central Potential. Townsend, 9.1-9.3 27. Wednesday, Mar. 20 Topic: Catch Up 28. Friday, Mar. 22 Topic: Catch Up Monday, Mar.25 Wednesday, Mar. 27 Friday, Mar. 29 Monday, Apr. 1 29. Wednesday, Apr. 3 Easter Break Topic: Due: Assignment: Catch Up Problem Set #6 Problem Set #7 2 30. Friday, Apr. 5 Topic: Catch Up 31. Monday, Apr. 8 Topic: Read: Example: Spherical Square Wells. Townsend, 10.1, 10.3, 10.4 32. Wednesday, Apr. 10 Topic: Example: Hydrogen Atom. Townsend, 10.2 33. Friday, Apr. 12 Topic: Example: Hydrogen Atom (cont.) 34. Monday, Apr. 15 Topic: Read: Due: Assignment: Time-independent Perturbation Theory Townsend, 11.1 – 11.2 Problem Set #7 Problem Set #8 35. Wednesday, Apr. 17 Topic: Example: “Spiked” Infinite Square Well 36. Friday, Apr. 19 Topic: Read: Example: Kinetic Energy Relativistic Correction for Hydrogen Townsend, 11.5 37. Monday, Apr. 22 Topic: Read: Example: The Stark Effect Townsend, 11.3 38. Wednesday, Apr. 24 Topic: Example: The Stark Effect 39. Friday, Apr. 26 Topic: Assignment: Due: Catch Up Day Comprehensive Take Home Final Problem Set #8 40. Monday, Apr. 29 Topic: Take Home Final (no class) 41. Wednesday, May 1 Topic: Take Home Final (no class) 3